2 papers
math.NT2026
Eisenstein circle packings and the Eisenpint Schmidt arrangement
James Rickards, Katherine E. Stange
The Schmidt arrangement of an imaginary quadratic number field is the orbit of the extended real line under as Möbius transformations on the exte…
math.NT2023
The local-global conjecture for Apollonian circle packings is false
Summer Haag, Clyde Kertzer, James Rickards +1
In a primitive integral Apollonian circle packing, the curvatures that appear must fall into one of six or eight residue classes modulo 24. The local-global conjecture states that…